Alright. If a slope is negative it is going from right to left, the slope is -1/2 which means the slope is going up -1/2 and to the side -1. Also, the y-intercept is 4, which means the slope runs through the point (0,4). lets put this into the slope equation:
y=mx+b
y = -1/2x + 4
where m = slope
b = y-intercept.
If another line is running parallel, then it will have the same slope but a different y-intercept. Since the other line running parallel runs through the points (1, -5), it means that the y-intercept for this equation is -5.
y = -1/2x + 11/2
Last, a line running perpendicular will simply be the reciprocal of the line it is perpendicular to. Therefore the equation of the line perpendicular to the first line is
y = 2x + 12
The area is 9.9 or 9 9/10
8x = 36 + 18y ⇒ -2(8x = 36 + 18y) ⇒ -16x = -72 - 36y
9x = 28 + 4y ⇒ 9(9x = 28 + 4y) ⇒ <u> 81x</u> = <u>252 + 36y</u>
65x = 180
![\frac{65x}{65} = \frac{180}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B65x%7D%7B65%7D%20%3D%20%5Cfrac%7B180%7D%7B65%7D)
x = ![\frac{36}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B13%7D)
9x = 28 + 4y
9
= 28 + 4y
9(36) = 13(28 + 4y)
324 = 364 + 52y
-40 = 52y
![\frac{-40}{52} = \frac{52y}{52}](https://tex.z-dn.net/?f=%5Cfrac%7B-40%7D%7B52%7D%20%3D%20%5Cfrac%7B52y%7D%7B52%7D)
![\frac{-10}{13} = y](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B13%7D%20%3D%20y)
Answer: x =
, y = ![\frac{-10}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B13%7D)